Search a number
-
+
101023321133301 = 3735970113373981
BaseRepresentation
bin10110111110000101010011…
…001010111001000011110101
3111020200201211221120021102120
4112332011103022321003311
5101220131230202231201
6554505250102030153
730164460034226460
oct2676052312710365
9436621757507376
10101023321133301
112a20982811a756
12b3b6bb5a18359
13444a5c5b8a938
141ad37aa65c2d7
15ba2cad62b536
hex5be1532b90f5

101023321133301 has 16 divisors (see below), whose sum is σ = 153940738347648. Its totient is φ = 57727447272000.

The previous prime is 101023321133291. The next prime is 101023321133341. The reversal of 101023321133301 is 103331123320101.

It is not a de Polignac number, because 101023321133301 - 27 = 101023321133173 is a prime.

It is a super-2 number, since 2×1010233211333012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023321133341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866731 + ... + 14240711.

It is an arithmetic number, because the mean of its divisors is an integer number (9621296146728).

Almost surely, 2101023321133301 is an apocalyptic number.

It is an amenable number.

101023321133301 is a deficient number, since it is larger than the sum of its proper divisors (52917417214347).

101023321133301 is a wasteful number, since it uses less digits than its factorization.

101023321133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13733692.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 101023321133301 its reverse (103331123320101), we get a palindrome (204354444453402).

The spelling of 101023321133301 in words is "one hundred one trillion, twenty-three billion, three hundred twenty-one million, one hundred thirty-three thousand, three hundred one".

Divisors: 1 3 7 21 359701 1079103 2517907 7553721 13373981 40121943 93617867 280853601 4810634339681 14431903019043 33674440377767 101023321133301